Báo cáo toán học: "On oriented arc-coloring of subcubic graphs" ppsx

Ngày tải lên: 05/08/2014, 10:20

... F. Then in the arc digraph of F, for every vertex V , the in-degree of V equals the out-degree of V . Proof. Let V be a vertex of the arc digraph of F. Let the set of edges pointing into V be ... 05C30 Abstract A universal cycle is a compact listing of a class of combinatorial objects. In this paper, we prove the existence of universal cycles of classes of labeled graphs...

Ngày tải lên: 08/08/2014, 11:20

... (V C ,C)ofG(V,E). The set C of all cycles forms a subspace of (E, ⊕, ·) which is called the cycle space of G.AbasisBof the cycle space C is called a cycle basis of G(V, E) [2]. The dimension of the ... minimal cycle basis of G. The remainder G ∗ of G after all cycles C β , β ∈ K are removed by the above procedure is composed of Y ∗ and those edges of H that are not contained...

Ngày tải lên: 07/08/2014, 06:22

... define oriented arc-colorings of oriented graphs in a natural way by saying that, as in the undirected case, an oriented arc-coloring of an oriented graph G is an oriented vertex-coloring of the ... arcs of A  . Let G be an oriented graph and f be an oriented arc-coloring of G. For a given vertex v of G,wedenotebyC + f (v)andC − f (v) the outgoing color set of...

Ngày tải lên: 07/08/2014, 13:21

... 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded if and only if the condition (5.5) is satisfied. Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark 5.1. Remark ... condition for the boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively. The next result provides a sufficient condition for the boundedness of solution...

Ngày tải lên: 20/06/2014, 20:20

... for PAPR distri- bution of OFDM/TDM signal and then, we develop the expression for the capacity of OFDM/TDM using MMSE-FDE. A. PAPR of OFDM/TDM The baseband oversampled OFDM/TDM signal given by (2) ... PAPR problem of conventional OFDM at the cost of slight decrease in spect rum efficiency. The capacity of OFDM/ TDM using MMSE-FDE is o btained based on the Gaus- sian assumption o...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20